Question:
A. The middle 95% of Jiffy Corn Muffin Mix boxes contain between _____ and ________ounces of cereal
Answer:
Therefore the middle 95% of Jiffy Corn Muffin Mix boxes contain between _9.994____ and _10.0062_______ounces of cereal
Step-by-step explanation:
The question requires us to construct the 95% confidence interval of the normal distribution as follows;
The mean, μ = 10
The sample standard deviation, σ = 0.1
Assumption
Number of boxes, n = 1000
The formula for confidence interval is as follows;
[tex]CI= \mu \pm z\frac{\sigma}{\sqrt{n}}[/tex]
Where, z at 95% confidence level is given as ±1.96
Plugging in the values, we have;
[tex]CI=10 \pm 1.96 \times \frac{0.1}{\sqrt{1000}}[/tex]
Therefore the middle 95% of Jiffy Corn Muffin Mix boxes contain between _9.994____ and _10.0062_______ounces of cereal.